TSTP Solution File: LCL801-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL801-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:21:56 EDT 2023
% Result : Unsatisfiable 823.10s 104.22s
% Output : CNFRefutation 823.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 66
% Syntax : Number of clauses : 304 ( 150 unt; 47 nHn; 190 RR)
% Number of literals : 516 ( 181 equ; 198 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 14 con; 0-3 aty)
% Number of variables : 455 ( 130 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__neg__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Collect__neg__eq_0) ).
cnf(cls_Collect__def_0,axiom,
hAPP(c_Collect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Collect__def_0) ).
cnf(cls_Collect__imp__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2))),hAPP(c_Collect(X1),X3)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Collect__imp__eq_0) ).
cnf(cls_nat__less__le_1,axiom,
~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_nat__less__le_1) ).
cnf(cls_not__leE_0,axiom,
( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_not__leE_0) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_nat__Orderings_Olinorder) ).
cnf(cls_Compl__empty__eq_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Compl__empty__eq_0) ).
cnf(cls_bot__fun__eq_0,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_bot__fun__eq_0) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Orderings_Obot) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_sup1CI_0) ).
cnf(cls_id__apply_0,axiom,
hAPP(c_Fun_Oid(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_id__apply_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_COMBS__def_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_COMBB__def_0) ).
cnf(cls_double__complement_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_double__complement_0) ).
cnf(cls_le__infE_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_le__infE_0) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_order__eq__iff_2) ).
cnf(cls_le__bool__def__raw_0,axiom,
c_lessequals(tc_bool) = c_implies,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_le__bool__def__raw_0) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Orderings_Oorder) ).
cnf(cls_top__greatest_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_top__greatest_0) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Orderings_Otop) ).
cnf(cls_top__fun__eq_0,axiom,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_top__fun__eq_0) ).
cnf(cls_le__sup__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_le__sup__iff_0) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(cls_Collect__mem__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Collect__mem__eq_0) ).
cnf(cls_sup__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_sup__absorb1_0) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(cls_ComplI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_ComplI_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_COMBC__def_0) ).
cnf(cls_not__less__Least_0,axiom,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(X2,X3))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_Orderings_Oord__class_OLeast(X2,X1))) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_not__less__Least_0) ).
cnf(cls_uT_0,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_uT_0) ).
cnf(clsarity_nat__Orderings_Owellorder,axiom,
class_Orderings_Owellorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_nat__Orderings_Owellorder) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_compl__bot__eq_0,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_compl__bot__eq_0) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_nat__Lattices_Olattice) ).
cnf(cls_double__compl_0,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_double__compl_0) ).
cnf(cls_le__iff__inf_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_le__iff__inf_0) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(cls_bot__least_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_bot__least_0) ).
cnf(cls_inf__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_inf__absorb2_0) ).
cnf(cls_exE__some_0,axiom,
( hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X3)))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_exE__some_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_bot1E_0) ).
cnf(cls_LeastI__ex_0,axiom,
( hBOOL(hAPP(X2,c_Orderings_Oord__class_OLeast(X2,X1)))
| ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_LeastI__ex_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_nat__Orderings_Oorder) ).
cnf(cls_order__eq__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_order__eq__iff_0) ).
cnf(cls_Collect__disj__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),hAPP(c_Collect(X1),X3)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Collect__disj__eq_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_linorder__not__less_1) ).
cnf(cls_Var_I3_J_0,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Var_I3_J_0) ).
cnf(cls_uIT_0,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_uIT_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_COMBK__def_0) ).
cnf(cls_fun__Compl__def_0,axiom,
( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
| ~ class_HOL_Ouminus(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_fun__Compl__def_0) ).
cnf(clsarity_bool__HOL_Ouminus,axiom,
class_HOL_Ouminus(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__HOL_Ouminus) ).
cnf(cls_Un__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Un__absorb_0) ).
cnf(cls_Collect__conj__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),hAPP(c_Collect(X1),X3)),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Collect__conj__eq_0) ).
cnf(cls_compl__top__eq_0,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_compl__top__eq_0) ).
cnf(cls_order_Oless__le_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X2))
| ~ c_Orderings_Oorder(X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_order_Oless__le_1) ).
cnf(cls_ComplD_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_ComplD_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_mem__def_1) ).
cnf(cls_Int__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_Int__absorb_0) ).
cnf(cls_dual__order_0,axiom,
( c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_dual__order_0) ).
cnf(cls_order_Odual__order_0,axiom,
( c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),X2),hAPP(c_COMBC(X1,X1,tc_bool),X3),X1)
| ~ c_Orderings_Oorder(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_order_Odual__order_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',cls_less__le__not__le_1) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p',clsarity_bool__Orderings_Opreorder) ).
cnf(c_0_66,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),
cls_Collect__neg__eq_0 ).
cnf(c_0_67,axiom,
hAPP(c_Collect(X1),X2) = X2,
cls_Collect__def_0 ).
cnf(c_0_68,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2))),hAPP(c_Collect(X1),X3)),
cls_Collect__imp__eq_0 ).
cnf(c_0_69,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]) ).
cnf(c_0_70,axiom,
~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)),
cls_nat__less__le_1 ).
cnf(c_0_71,axiom,
( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0 ).
cnf(c_0_72,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder ).
cnf(c_0_73,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Compl__empty__eq_0 ).
cnf(c_0_74,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__fun__eq_0 ).
cnf(c_0_75,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_76,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
cls_sup1CI_0 ).
cnf(c_0_77,axiom,
hAPP(c_Fun_Oid(X1),X2) = X2,
cls_id__apply_0 ).
cnf(c_0_78,axiom,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
cls_COMBS__def_0 ).
cnf(c_0_79,plain,
hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_67]),c_0_69]),c_0_67]),c_0_67]) ).
cnf(c_0_80,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_81,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
cls_double__complement_0 ).
cnf(c_0_82,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))) ),
cls_le__infE_0 ).
cnf(c_0_83,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_84,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice ).
cnf(c_0_85,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)) ),
cls_order__eq__iff_2 ).
cnf(c_0_86,axiom,
c_lessequals(tc_bool) = c_implies,
cls_le__bool__def__raw_0 ).
cnf(c_0_87,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder ).
cnf(c_0_88,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0 ).
cnf(c_0_89,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop ).
cnf(c_0_90,axiom,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__fun__eq_0 ).
cnf(c_0_91,plain,
hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[c_0_73,c_0_69]) ).
cnf(c_0_92,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_93,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)) ),
cls_le__sup__iff_0 ).
cnf(c_0_94,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice ).
cnf(c_0_95,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Fun_Oid(X3)),X4))
| ~ hBOOL(X4) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_96,plain,
hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X3),X4) = hAPP(hAPP(c_implies,hAPP(X2,X4)),hAPP(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_97,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)) = X2,
cls_Collect__mem__eq_0 ).
cnf(c_0_98,plain,
hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_69]),c_0_69]) ).
cnf(c_0_99,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
cls_sup__absorb1_0 ).
cnf(c_0_100,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2)),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_101,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice ).
cnf(c_0_102,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_implies,X2),X1))
| ~ hBOOL(hAPP(hAPP(c_implies,X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_103,plain,
hBOOL(hAPP(hAPP(c_implies,X1),c_Orderings_Otop__class_Otop(tc_bool))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_86]) ).
cnf(c_0_104,plain,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_89]),c_0_91]),c_0_80]),c_0_92]) ).
cnf(c_0_105,plain,
( hBOOL(hAPP(hAPP(c_implies,X1),X2))
| ~ hBOOL(hAPP(hAPP(c_implies,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X3)),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_86]),c_0_94])]) ).
cnf(c_0_106,plain,
( hBOOL(hAPP(hAPP(c_implies,hAPP(X1,X2)),X2))
| ~ hBOOL(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_77]) ).
cnf(c_0_107,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_ComplI_0 ).
cnf(c_0_108,axiom,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
cls_COMBC__def_0 ).
cnf(c_0_109,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_97,c_0_67]) ).
cnf(c_0_110,axiom,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(X2,X3))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_Orderings_Oord__class_OLeast(X2,X1))) ),
cls_not__less__Least_0 ).
cnf(c_0_111,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)),
cls_uT_0 ).
cnf(c_0_112,plain,
hAPP(c_Not,hAPP(c_Not,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_98]),c_0_80]) ).
cnf(c_0_113,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_114,plain,
( hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) = X1
| ~ hBOOL(hAPP(hAPP(c_implies,hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool))),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_104]) ).
cnf(c_0_115,plain,
( hBOOL(hAPP(hAPP(c_implies,X1),X2))
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_116,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(rw,[status(thm)],[c_0_107,c_0_69]) ).
cnf(c_0_117,plain,
hAPP(hAPP(c_in(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_118,plain,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),v_T____),c_Orderings_Oord__class_OLeast(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,plain,
( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_120,axiom,
class_Orderings_Owellorder(tc_nat),
clsarity_nat__Orderings_Owellorder ).
cnf(c_0_121,plain,
hAPP(c_Not,hAPP(c_Not,X1)) = X1,
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_122,plain,
( hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,plain,
( hBOOL(hAPP(c_Not,hAPP(X1,X2)))
| hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_80]),c_0_117]) ).
cnf(c_0_124,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0 ).
cnf(c_0_125,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Orderings_Oord__class_OLeast(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),tc_nat)),v_T____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).
cnf(c_0_126,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__bot__eq_0 ).
cnf(c_0_127,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra ).
cnf(c_0_128,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = X1
| ~ hBOOL(hAPP(c_Not,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_121]) ).
cnf(c_0_129,plain,
( hBOOL(hAPP(c_Not,X1))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_77]) ).
cnf(c_0_130,plain,
( ~ class_Lattices_Olattice(X1)
| ~ class_Orderings_Owellorder(X2)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(X1),X3),X2))) ),
inference(spm,[status(thm)],[c_0_110,c_0_124]) ).
cnf(c_0_131,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),v_T____),c_Orderings_Oord__class_OLeast(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),tc_nat)) = v_T____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_125]),c_0_101])]) ).
cnf(c_0_132,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice ).
cnf(c_0_133,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_double__compl_0 ).
cnf(c_0_134,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_135,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)) ),
cls_le__iff__inf_0 ).
cnf(c_0_136,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice ).
cnf(c_0_137,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0 ).
cnf(c_0_138,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_139,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
cls_inf__absorb2_0 ).
cnf(c_0_140,plain,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),v_T____),c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(tc_nat),v_T____),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).
cnf(c_0_141,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_127])]) ).
cnf(c_0_142,axiom,
( hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X3)))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_exE__some_0 ).
cnf(c_0_143,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_144,axiom,
( hBOOL(hAPP(X2,c_Orderings_Oord__class_OLeast(X2,X1)))
| ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(X2,X3)) ),
cls_LeastI__ex_0 ).
cnf(c_0_145,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0 ).
cnf(c_0_146,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2) = X1
| ~ hBOOL(hAPP(hAPP(c_implies,X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_86]),c_0_136])]) ).
cnf(c_0_147,plain,
( hBOOL(hAPP(hAPP(c_implies,X1),X2))
| hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_86]),c_0_75])]) ).
cnf(c_0_148,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2) = X2
| ~ hBOOL(hAPP(hAPP(c_implies,X2),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_86]),c_0_136])]) ).
cnf(c_0_149,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(tc_nat),v_T____),tc_nat)),v_T____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_119]),c_0_120])]) ).
cnf(c_0_150,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder ).
cnf(c_0_151,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0 ).
cnf(c_0_152,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),hAPP(c_Collect(X1),X3)),
cls_Collect__disj__eq_0 ).
cnf(c_0_153,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool))) = c_Orderings_Obot__class_Obot(tc_bool),
inference(rw,[status(thm)],[c_0_141,c_0_104]) ).
cnf(c_0_154,plain,
~ hBOOL(c_Orderings_Obot__class_Obot(tc_bool)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_92]),c_0_143]) ).
cnf(c_0_155,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0 ).
cnf(c_0_156,plain,
( hBOOL(hAPP(hAPP(c_fequal(X1),X2),c_Orderings_Oord__class_OLeast(hAPP(c_fequal(X1),X2),X3)))
| ~ class_Orderings_Owellorder(X3) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_157,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
cls_linorder__not__less_1 ).
cnf(c_0_158,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_159,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2) = X2
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_147]) ).
cnf(c_0_160,plain,
( c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(tc_nat),v_T____),tc_nat) = v_T____
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),v_T____),c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(tc_nat),v_T____),tc_nat))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_149]),c_0_150])]) ).
cnf(c_0_161,plain,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(X1),X2),X3)))
| ~ class_Orderings_Owellorder(X3)
| ~ class_Orderings_Oorder(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_151]) ).
cnf(c_0_162,plain,
( X1 = X2
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_122]) ).
cnf(c_0_163,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
cls_Var_I3_J_0 ).
cnf(c_0_164,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(c_lessequals(X3),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X5)))
| ~ class_Lattices_Olattice(X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_124]) ).
cnf(c_0_165,plain,
hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_166,plain,
hBOOL(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_153]),c_0_154]) ).
cnf(c_0_167,plain,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),c_Orderings_Oord__class_OLeast(hAPP(c_fequal(X3),X2),X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_145]) ).
cnf(c_0_168,plain,
( c_Orderings_Oord__class_OLeast(hAPP(c_fequal(X1),X2),X3) = X2
| ~ class_Orderings_Owellorder(X3) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_169,plain,
~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_T____),c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(tc_nat),v_T____),tc_nat))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_149]),c_0_72])]) ).
cnf(c_0_170,plain,
( X1 = X2
| hBOOL(X1)
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_171,plain,
c_Orderings_Oord__class_OLeast(hAPP(c_lessequals(tc_nat),v_T____),tc_nat) = v_T____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_120]),c_0_150])]) ).
cnf(c_0_172,plain,
( hAPP(c_InductTermi_OIT,v_ua______) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_173,plain,
hBOOL(hAPP(hAPP(c_implies,X1),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_87]),c_0_86]) ).
cnf(c_0_174,plain,
hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(c_lessequals(tc_nat),v_T____)),v_T____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_131]),c_0_132])]) ).
cnf(c_0_175,plain,
hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4) = hAPP(hAPP(c_or,hAPP(X2,X4)),hAPP(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_165]),c_0_80]) ).
cnf(c_0_176,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
cls_uIT_0 ).
cnf(c_0_177,plain,
hBOOL(hAPP(c_Not,c_Hilbert__Choice_OEps(c_Not,X1))),
inference(spm,[status(thm)],[c_0_142,c_0_166]) ).
cnf(c_0_178,plain,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_179,plain,
( hBOOL(c_HOL_Oord__class_Oless(tc_nat))
| hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(X1,v_T____),v_T____)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_180,plain,
hAPP(hAPP(c_implies,X1),X1) = hAPP(c_InductTermi_OIT,v_ua______),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_181,plain,
hBOOL(hAPP(hAPP(c_or,hAPP(X1,v_T____)),hAPP(hAPP(c_lessequals(tc_nat),v_T____),v_T____))),
inference(rw,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,axiom,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
cls_COMBK__def_0 ).
cnf(c_0_183,plain,
( hAPP(c_InductTermi_OIT,v_u____) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_176]) ).
cnf(c_0_184,plain,
c_Hilbert__Choice_OEps(c_Not,X1) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_128,c_0_177]) ).
cnf(c_0_185,plain,
( ~ class_Orderings_Owellorder(X1)
| ~ hBOOL(hAPP(hAPP(X2,X3),X3))
| ~ hBOOL(c_HOL_Oord__class_Oless(X1))
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_178,c_0_162]) ).
cnf(c_0_186,plain,
( hBOOL(c_HOL_Oord__class_Oless(tc_nat))
| hBOOL(c_implies) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_163])]) ).
cnf(c_0_187,plain,
hBOOL(hAPP(hAPP(c_or,X1),hAPP(hAPP(c_lessequals(tc_nat),v_T____),v_T____))),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_188,plain,
hAPP(hAPP(c_lessequals(tc_nat),v_T____),v_T____) = hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_149]),c_0_171]) ).
cnf(c_0_189,plain,
hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) = hAPP(c_InductTermi_OIT,v_u____),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_177]),c_0_184]) ).
cnf(c_0_190,plain,
hAPP(c_InductTermi_OIT,v_u____) = hAPP(c_InductTermi_OIT,v_ua______),
inference(spm,[status(thm)],[c_0_183,c_0_163]) ).
cnf(c_0_191,plain,
( ~ hBOOL(hAPP(hAPP(X1,v_T____),v_T____))
| ~ hBOOL(c_HOL_Oord__class_Oless(tc_nat))
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_162]),c_0_171]) ).
cnf(c_0_192,plain,
( hBOOL(c_implies)
| ~ hBOOL(hAPP(hAPP(X1,X2),X2))
| ~ hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_120])]) ).
cnf(c_0_193,plain,
hAPP(hAPP(c_or,X1),hAPP(c_InductTermi_OIT,v_ua______)) = hAPP(c_InductTermi_OIT,v_ua______),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_187]),c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_194,axiom,
( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
| ~ class_HOL_Ouminus(X1) ),
cls_fun__Compl__def_0 ).
cnf(c_0_195,axiom,
class_HOL_Ouminus(tc_bool),
clsarity_bool__HOL_Ouminus ).
cnf(c_0_196,plain,
( hBOOL(c_implies)
| ~ hBOOL(hAPP(hAPP(X1,v_T____),v_T____))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_186]) ).
cnf(c_0_197,plain,
hAPP(hAPP(c_lessequals(tc_nat),X1),X1) = hAPP(c_InductTermi_OIT,v_ua______),
inference(spm,[status(thm)],[c_0_172,c_0_83]) ).
cnf(c_0_198,plain,
( hBOOL(c_implies)
| ~ hBOOL(c_or) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_163])]) ).
cnf(c_0_199,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Un__absorb_0 ).
cnf(c_0_200,plain,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(c_InductTermi_OIT,v_u____),
inference(rw,[status(thm)],[c_0_104,c_0_189]) ).
cnf(c_0_201,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),hAPP(X1,v_x)) = hAPP(c_Not,hAPP(X1,v_x)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_69]),c_0_80]) ).
cnf(c_0_202,plain,
( hBOOL(c_implies)
| ~ hBOOL(c_lessequals(tc_nat)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_163])]) ).
cnf(c_0_203,plain,
( X1 = c_or
| hBOOL(c_implies)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_170]) ).
cnf(c_0_204,plain,
hAPP(hAPP(c_or,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(X1,X2),
inference(spm,[status(thm)],[c_0_175,c_0_199]) ).
cnf(c_0_205,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),hAPP(c_Collect(X1),X3)),
cls_Collect__conj__eq_0 ).
cnf(c_0_206,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__top__eq_0 ).
cnf(c_0_207,plain,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(c_InductTermi_OIT,v_ua______),
inference(rw,[status(thm)],[c_0_200,c_0_190]) ).
cnf(c_0_208,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X1) = hAPP(c_Not,X1),
inference(spm,[status(thm)],[c_0_201,c_0_182]) ).
cnf(c_0_209,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X2))
| ~ c_Orderings_Oorder(X3,X1,X4) ),
cls_order_Oless__le_1 ).
cnf(c_0_210,plain,
( hBOOL(c_lessequals(tc_nat))
| hBOOL(c_HOL_Oord__class_Oless(tc_nat)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_197]),c_0_163])]) ).
cnf(c_0_211,plain,
( c_lessequals(tc_nat) = c_or
| hBOOL(c_implies) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_212,plain,
hAPP(hAPP(c_or,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_204,c_0_121]) ).
cnf(c_0_213,plain,
hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_214,plain,
c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Not,hAPP(c_InductTermi_OIT,v_ua______)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),c_0_127])]) ).
cnf(c_0_215,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
cls_ComplD_0 ).
cnf(c_0_216,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1 ).
cnf(c_0_217,plain,
( ~ c_Orderings_Oorder(X1,hAPP(c_COMBC(X2,X3,X4),X5),X6)
| ~ hBOOL(hAPP(hAPP(X5,X7),X7)) ),
inference(spm,[status(thm)],[c_0_209,c_0_108]) ).
cnf(c_0_218,plain,
( hBOOL(c_lessequals(tc_nat))
| ~ hBOOL(hAPP(hAPP(X1,v_T____),v_T____))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_210]) ).
cnf(c_0_219,plain,
( hBOOL(c_implies)
| hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_211]),c_0_212]),c_0_150])]) ).
cnf(c_0_220,plain,
hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4) = hAPP(hAPP(c_and,hAPP(X2,X4)),hAPP(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_213]),c_0_80]) ).
cnf(c_0_221,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Int__absorb_0 ).
cnf(c_0_222,plain,
( hAPP(c_Not,hAPP(c_InductTermi_OIT,v_ua______)) = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_138,c_0_214]) ).
cnf(c_0_223,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(rw,[status(thm)],[c_0_215,c_0_69]) ).
cnf(c_0_224,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_ua______),c_InductTermi_OIT)),
inference(spm,[status(thm)],[c_0_216,c_0_163]) ).
cnf(c_0_225,plain,
~ c_Orderings_Oorder(X1,hAPP(c_COMBC(X2,X3,X4),c_lessequals(tc_nat)),X5),
inference(spm,[status(thm)],[c_0_217,c_0_83]) ).
cnf(c_0_226,plain,
( hBOOL(c_lessequals(tc_nat))
| ~ hBOOL(c_implies) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_180]),c_0_163])]) ).
cnf(c_0_227,plain,
hBOOL(c_implies),
inference(ef,[status(thm)],[c_0_219]) ).
cnf(c_0_228,plain,
hAPP(hAPP(c_and,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(X1,X2),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_229,plain,
( c_HOL_Oord__class_Oless(tc_nat) = hAPP(c_Not,hAPP(c_InductTermi_OIT,v_ua______))
| ~ hBOOL(hAPP(hAPP(X1,v_T____),v_T____))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_222]) ).
cnf(c_0_230,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),v_ua______),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),c_InductTermi_OIT))),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_231,plain,
( ~ c_Orderings_Oorder(X1,c_lessequals(X2),X3)
| ~ class_Orderings_Oorder(X2) ),
inference(spm,[status(thm)],[c_0_209,c_0_151]) ).
cnf(c_0_232,plain,
( ~ c_Orderings_Oorder(X1,hAPP(c_COMBC(X2,X3,X4),X5),X6)
| ~ hBOOL(c_lessequals(tc_nat))
| ~ hBOOL(X5) ),
inference(spm,[status(thm)],[c_0_225,c_0_162]) ).
cnf(c_0_233,plain,
hBOOL(c_lessequals(tc_nat)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).
cnf(c_0_234,axiom,
( c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),X1)
| ~ class_Orderings_Oorder(X1) ),
cls_dual__order_0 ).
cnf(c_0_235,plain,
hAPP(hAPP(c_and,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_228,c_0_121]) ).
cnf(c_0_236,plain,
( c_HOL_Oord__class_Oless(tc_nat) = hAPP(c_Not,hAPP(c_InductTermi_OIT,v_ua______))
| ~ hBOOL(c_implies) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_180]),c_0_163])]) ).
cnf(c_0_237,plain,
hAPP(c_InductTermi_OIT,v_ua______) = c_implies,
inference(spm,[status(thm)],[c_0_172,c_0_227]) ).
cnf(c_0_238,plain,
~ hBOOL(hAPP(c_Not,hAPP(c_InductTermi_OIT,v_ua______))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_117]),c_0_80]) ).
cnf(c_0_239,plain,
( ~ c_Orderings_Oorder(X1,X2,X3)
| ~ class_Orderings_Oorder(X4)
| ~ hBOOL(c_lessequals(X4))
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_231,c_0_162]) ).
cnf(c_0_240,plain,
( ~ c_Orderings_Oorder(X1,hAPP(c_COMBC(X2,X3,X4),X5),X6)
| ~ hBOOL(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233])]) ).
cnf(c_0_241,plain,
c_Orderings_Oorder(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),c_implies),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),c_HOL_Oord__class_Oless(tc_bool)),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_86]),c_0_87])]) ).
cnf(c_0_242,plain,
( hAPP(c_Not,X1) = hAPP(c_InductTermi_OIT,v_ua______)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_129]) ).
cnf(c_0_243,plain,
( hBOOL(c_HOL_Oord__class_Oless(tc_nat))
| hBOOL(c_and)
| ~ hBOOL(v_T____) ),
inference(spm,[status(thm)],[c_0_179,c_0_235]) ).
cnf(c_0_244,plain,
c_HOL_Oord__class_Oless(tc_nat) = hAPP(c_Not,c_implies),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_227])]),c_0_237]) ).
cnf(c_0_245,plain,
~ hBOOL(hAPP(c_Not,c_implies)),
inference(spm,[status(thm)],[c_0_238,c_0_237]) ).
cnf(c_0_246,plain,
( ~ c_Orderings_Oorder(X1,X2,X3)
| ~ hBOOL(c_implies)
| ~ hBOOL(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_86]),c_0_87])]) ).
cnf(c_0_247,plain,
~ hBOOL(c_HOL_Oord__class_Oless(tc_bool)),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_248,plain,
( hAPP(c_Not,X1) = c_implies
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_242,c_0_237]) ).
cnf(c_0_249,plain,
( hBOOL(c_and)
| ~ hBOOL(v_T____) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_250,axiom,
( c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),X2),hAPP(c_COMBC(X1,X1,tc_bool),X3),X1)
| ~ c_Orderings_Oorder(X2,X3,X1) ),
cls_order_Odual__order_0 ).
cnf(c_0_251,plain,
( ~ c_Orderings_Oorder(X1,X2,X3)
| ~ hBOOL(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_227])]) ).
cnf(c_0_252,plain,
hAPP(c_Not,c_HOL_Oord__class_Oless(tc_bool)) = c_implies,
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_253,plain,
( X1 = c_implies
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_227]) ).
cnf(c_0_254,plain,
( hAPP(c_Not,v_T____) = c_implies
| hBOOL(c_and) ),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
cnf(c_0_255,plain,
( ~ hBOOL(hAPP(c_Not,hAPP(X1,X2)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_117]),c_0_80]),c_0_117]) ).
cnf(c_0_256,plain,
c_Orderings_Oorder(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),c_implies)),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),c_HOL_Oord__class_Oless(tc_bool))),tc_bool),
inference(spm,[status(thm)],[c_0_250,c_0_241]) ).
cnf(c_0_257,plain,
~ hBOOL(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),c_HOL_Oord__class_Oless(tc_bool))),
inference(spm,[status(thm)],[c_0_251,c_0_241]) ).
cnf(c_0_258,plain,
c_HOL_Oord__class_Oless(tc_bool) = hAPP(c_Not,c_implies),
inference(spm,[status(thm)],[c_0_121,c_0_252]) ).
cnf(c_0_259,plain,
( hAPP(c_Not,v_T____) = c_implies
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_260,plain,
( ~ hBOOL(hAPP(c_Not,X1))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_255,c_0_77]) ).
cnf(c_0_261,plain,
~ hBOOL(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),c_HOL_Oord__class_Oless(tc_bool)))),
inference(spm,[status(thm)],[c_0_251,c_0_256]) ).
cnf(c_0_262,plain,
~ hBOOL(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_Not,c_implies))),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_263,plain,
( hAPP(c_Not,c_implies) = v_T____
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_121,c_0_259]) ).
cnf(c_0_264,plain,
( c_implies = c_and
| ~ hBOOL(v_T____) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_259]),c_0_227])]) ).
cnf(c_0_265,plain,
~ hBOOL(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_Not,c_implies)))),
inference(spm,[status(thm)],[c_0_261,c_0_258]) ).
cnf(c_0_266,plain,
( c_implies = c_and
| ~ hBOOL(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),v_T____)) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_267,plain,
( c_implies = c_and
| X1 = v_T____
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_170]) ).
cnf(c_0_268,plain,
( X1 = c_implies
| hBOOL(c_lessequals(tc_nat))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_170]) ).
cnf(c_0_269,plain,
( c_implies = c_and
| ~ hBOOL(hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),v_T____))) ),
inference(spm,[status(thm)],[c_0_265,c_0_263]) ).
cnf(c_0_270,plain,
( hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),v_T____) = v_T____
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_271,plain,
( c_implies = c_and
| X1 = v_T____
| X1 = c_implies ),
inference(spm,[status(thm)],[c_0_253,c_0_267]) ).
cnf(c_0_272,plain,
( c_lessequals(tc_nat) = c_implies
| hBOOL(c_lessequals(tc_nat)) ),
inference(ef,[status(thm)],[c_0_268]) ).
cnf(c_0_273,plain,
hAPP(hAPP(c_implies,X1),hAPP(c_InductTermi_OIT,v_ua______)) = hAPP(c_InductTermi_OIT,v_ua______),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_103]),c_0_104]),c_0_189]),c_0_190]) ).
cnf(c_0_274,plain,
( hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),hAPP(c_COMBC(tc_bool,tc_bool,tc_bool),v_T____)) = v_T____
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_269,c_0_267]) ).
cnf(c_0_275,plain,
( c_COMBC(tc_bool,tc_bool,tc_bool) = c_implies
| hAPP(v_T____,v_T____) = v_T____
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_276,plain,
( c_lessequals(tc_nat) = hAPP(c_InductTermi_OIT,v_ua______)
| c_lessequals(tc_nat) = c_implies ),
inference(spm,[status(thm)],[c_0_172,c_0_272]) ).
cnf(c_0_277,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Not,c_implies),v_T____),v_T____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_244]),c_0_120]),c_0_171])]) ).
cnf(c_0_278,plain,
hAPP(hAPP(c_implies,X1),c_implies) = c_implies,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_237]),c_0_237]) ).
cnf(c_0_279,plain,
( hAPP(c_implies,hAPP(c_implies,v_T____)) = v_T____
| hAPP(v_T____,v_T____) = v_T____
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_280,plain,
c_lessequals(tc_nat) = c_implies,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_237])]) ).
cnf(c_0_281,plain,
( c_implies = c_and
| ~ hBOOL(hAPP(hAPP(v_T____,v_T____),v_T____)) ),
inference(spm,[status(thm)],[c_0_277,c_0_263]) ).
cnf(c_0_282,plain,
( hAPP(v_T____,v_T____) = v_T____
| hAPP(v_T____,c_implies) = c_implies
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_283,plain,
( hAPP(c_implies,v_T____) = c_implies
| c_implies = c_and
| hBOOL(hAPP(v_T____,v_T____)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_271]),c_0_280]),c_0_171]) ).
cnf(c_0_284,plain,
( hAPP(v_T____,c_implies) = c_implies
| c_implies = c_and
| ~ hBOOL(hAPP(v_T____,v_T____)) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_285,plain,
( hAPP(c_implies,v_T____) = c_implies
| hAPP(v_T____,v_T____) = c_implies
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_253,c_0_283]) ).
cnf(c_0_286,plain,
( hAPP(v_T____,v_T____) = c_implies
| c_Not = c_implies
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_259,c_0_271]) ).
cnf(c_0_287,plain,
( c_Not = c_implies
| c_implies = c_and
| ~ hBOOL(hAPP(v_T____,c_implies)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_271]),c_0_237]) ).
cnf(c_0_288,plain,
( hAPP(c_implies,v_T____) = c_implies
| hAPP(v_T____,c_implies) = c_implies
| c_implies = c_and ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_227])]) ).
cnf(c_0_289,plain,
( c_Not = c_implies
| c_implies = c_and
| ~ hBOOL(hAPP(c_implies,v_T____)) ),
inference(spm,[status(thm)],[c_0_281,c_0_286]) ).
cnf(c_0_290,plain,
( hAPP(c_implies,v_T____) = c_implies
| c_implies = c_and
| c_Not = c_implies ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_227])]) ).
cnf(c_0_291,plain,
( c_implies = c_and
| c_Not = c_implies ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_227])]) ).
cnf(c_0_292,plain,
( hAPP(c_implies,v_T____) = c_implies
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_259,c_0_291]) ).
cnf(c_0_293,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)) ),
cls_less__le__not__le_1 ).
cnf(c_0_294,plain,
( c_implies = c_and
| ~ hBOOL(hAPP(c_implies,c_implies)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_291]),c_0_237]) ).
cnf(c_0_295,plain,
( hAPP(c_implies,c_implies) = c_implies
| c_implies = c_and ),
inference(spm,[status(thm)],[c_0_278,c_0_292]) ).
cnf(c_0_296,plain,
( ~ class_Orderings_Otop(X1)
| ~ class_Orderings_Opreorder(X1)
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),c_Orderings_Otop__class_Otop(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_293,c_0_88]) ).
cnf(c_0_297,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder ).
cnf(c_0_298,plain,
c_implies = c_and,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_227])]) ).
cnf(c_0_299,plain,
~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_InductTermi_OIT,v_ua______)),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_207]),c_0_89]),c_0_297])]) ).
cnf(c_0_300,plain,
c_lessequals(tc_nat) = c_and,
inference(rw,[status(thm)],[c_0_280,c_0_298]) ).
cnf(c_0_301,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Not,c_implies),c_implies),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_237]),c_0_258]) ).
cnf(c_0_302,plain,
hBOOL(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_300]),c_0_235]),c_0_150])]) ).
cnf(c_0_303,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.19 % Problem : LCL801-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.20 % Command : run_E %s %d THM
% 0.19/0.40 % Computer : n010.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 2400
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Mon Oct 2 12:53:20 EDT 2023
% 0.19/0.40 % CPUTime :
% 0.42/0.61 Running first-order theorem proving
% 0.42/0.61 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.GPXEkZimcF/E---3.1_8342.p
% 823.10/104.22 # Version: 3.1pre001
% 823.10/104.22 # Preprocessing class: FSLMSMSMSSSNFFN.
% 823.10/104.22 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 823.10/104.22 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 823.10/104.22 # Starting new_bool_3 with 600s (2) cores
% 823.10/104.22 # Starting new_bool_1 with 300s (1) cores
% 823.10/104.22 # Starting sh5l with 300s (1) cores
% 823.10/104.22 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 8420 completed with status 0
% 823.10/104.22 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 823.10/104.22 # Preprocessing class: FSLMSMSMSSSNFFN.
% 823.10/104.22 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 823.10/104.22 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 823.10/104.22 # No SInE strategy applied
% 823.10/104.22 # Search class: FGHSM-FSLM32-DFFFFFNN
% 823.10/104.22 # Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 823.10/104.22 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 90s (1) cores
% 823.10/104.22 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 823.10/104.22 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 823.10/104.22 # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 823.10/104.22 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 8427 completed with status 7
% 823.10/104.22 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 90s (1) cores
% 823.10/104.22 # U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 8430 completed with status 7
% 823.10/104.22 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 90s (1) cores
% 823.10/104.22 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 8429 completed with status 7
% 823.10/104.22 # Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 823.10/104.22 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 8428 completed with status 0
% 823.10/104.22 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 823.10/104.22 # Preprocessing class: FSLMSMSMSSSNFFN.
% 823.10/104.22 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 823.10/104.22 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 823.10/104.22 # No SInE strategy applied
% 823.10/104.22 # Search class: FGHSM-FSLM32-DFFFFFNN
% 823.10/104.22 # Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 823.10/104.22 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 90s (1) cores
% 823.10/104.22 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 823.10/104.22 # Preprocessing time : 0.013 s
% 823.10/104.22 # Presaturation interreduction done
% 823.10/104.22
% 823.10/104.22 # Proof found!
% 823.10/104.22 # SZS status Unsatisfiable
% 823.10/104.22 # SZS output start CNFRefutation
% See solution above
% 823.10/104.23 # Parsed axioms : 796
% 823.10/104.23 # Removed by relevancy pruning/SinE : 0
% 823.10/104.23 # Initial clauses : 796
% 823.10/104.23 # Removed in clause preprocessing : 0
% 823.10/104.23 # Initial clauses in saturation : 796
% 823.10/104.23 # Processed clauses : 77213
% 823.10/104.23 # ...of these trivial : 1646
% 823.10/104.23 # ...subsumed : 54139
% 823.10/104.23 # ...remaining for further processing : 21428
% 823.10/104.23 # Other redundant clauses eliminated : 1828
% 823.10/104.23 # Clauses deleted for lack of memory : 318075
% 823.10/104.23 # Backward-subsumed : 2214
% 823.10/104.23 # Backward-rewritten : 15557
% 823.10/104.23 # Generated clauses : 4521280
% 823.10/104.23 # ...of the previous two non-redundant : 4441741
% 823.10/104.23 # ...aggressively subsumed : 0
% 823.10/104.23 # Contextual simplify-reflections : 95
% 823.10/104.23 # Paramodulations : 4519193
% 823.10/104.23 # Factorizations : 50
% 823.10/104.23 # NegExts : 0
% 823.10/104.23 # Equation resolutions : 2037
% 823.10/104.23 # Total rewrite steps : 453619
% 823.10/104.23 # Propositional unsat checks : 0
% 823.10/104.23 # Propositional check models : 0
% 823.10/104.23 # Propositional check unsatisfiable : 0
% 823.10/104.23 # Propositional clauses : 0
% 823.10/104.23 # Propositional clauses after purity: 0
% 823.10/104.23 # Propositional unsat core size : 0
% 823.10/104.23 # Propositional preprocessing time : 0.000
% 823.10/104.23 # Propositional encoding time : 0.000
% 823.10/104.23 # Propositional solver time : 0.000
% 823.10/104.23 # Success case prop preproc time : 0.000
% 823.10/104.23 # Success case prop encoding time : 0.000
% 823.10/104.23 # Success case prop solver time : 0.000
% 823.10/104.23 # Current number of processed clauses : 3025
% 823.10/104.23 # Positive orientable unit clauses : 387
% 823.10/104.23 # Positive unorientable unit clauses: 95
% 823.10/104.23 # Negative unit clauses : 843
% 823.10/104.23 # Non-unit-clauses : 1700
% 823.10/104.23 # Current number of unprocessed clauses: 1404713
% 823.10/104.23 # ...number of literals in the above : 4423404
% 823.10/104.23 # Current number of archived formulas : 0
% 823.10/104.23 # Current number of archived clauses : 18403
% 823.10/104.23 # Clause-clause subsumption calls (NU) : 19297637
% 823.10/104.23 # Rec. Clause-clause subsumption calls : 9437048
% 823.10/104.23 # Non-unit clause-clause subsumptions : 31291
% 823.10/104.23 # Unit Clause-clause subsumption calls : 838439
% 823.10/104.23 # Rewrite failures with RHS unbound : 6096
% 823.10/104.23 # BW rewrite match attempts : 413777
% 823.10/104.23 # BW rewrite match successes : 7956
% 823.10/104.23 # Condensation attempts : 0
% 823.10/104.23 # Condensation successes : 0
% 823.10/104.23 # Termbank termtop insertions : 113070540
% 823.10/104.23
% 823.10/104.23 # -------------------------------------------------
% 823.10/104.23 # User time : 366.361 s
% 823.10/104.23 # System time : 6.093 s
% 823.10/104.23 # Total time : 372.454 s
% 823.10/104.23 # Maximum resident set size: 3568 pages
% 823.10/104.23
% 823.10/104.23 # -------------------------------------------------
% 823.10/104.23 # User time : 402.580 s
% 823.10/104.23 # System time : 7.245 s
% 823.10/104.23 # Total time : 409.825 s
% 823.10/104.23 # Maximum resident set size: 2536 pages
% 823.10/104.23 % E---3.1 exiting
% 823.10/104.23 % E---3.1 exiting
%------------------------------------------------------------------------------